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689322240 = 28325531129
BaseRepresentation
bin101001000101100…
…011100100000000
31210001002012100100
4221011203210000
52402431302430
6152222322400
723040066555
oct5105434400
91701065310
10689322240
11324117002
12172a29400
13aca711a9
1467798a2c
15407b3960
hex29163900

689322240 has 216 divisors, whose sum is σ = 2432135160. Its totient is φ = 180191232.

The previous prime is 689322233. The next prime is 689322241. The reversal of 689322240 is 42223986.

It can be written as a sum of positive squares in 4 ways, for example, as 24920064 + 664402176 = 4992^2 + 25776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 689322195 and 689322204.

It is not an unprimeable number, because it can be changed into a prime (689322241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609996 + ... + 611124.

It is an arithmetic number, because the mean of its divisors is an integer number (11259885).

Almost surely, 2689322240 is an apocalyptic number.

689322240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216067580).

689322240 is an abundant number, since it is smaller than the sum of its proper divisors (1742812920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

689322240 is a wasteful number, since it uses less digits than its factorization.

689322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 689322240 is about 26254.9469624298. The cubic root of 689322240 is about 883.3661706870.

The spelling of 689322240 in words is "six hundred eighty-nine million, three hundred twenty-two thousand, two hundred forty".